Mathematics and Statistics Models

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What are Mathematical and Statistical Models

These types of models are obviously related, but there are also real differences between them.

Mathematical Models:

grow out of equations that determine how a system changes from one state to the next (differential equations) and/or how one variable depends on the value or state of other variables (state equations) These can also be divided into either numerical models or analytical models.

Statistical Models:

include issues such as statistical characterization of numerical data, estimating the probabilistic future behavior of a system based on past behavior, extrapolation or interpolation of data based on some best-fit, error estimates of observations, or spectral analysis of data or model generated output.